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Finding the Fourth Proportional to 75,992.42, 113,990.95 and 26,071.82

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Solution

The fourth proportional to 75,992.42, 113,990.95 and 26,071.82 is: 39,108.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,992.42 : 113,990.95 = 26,071.82 : x
  2. Step 2: Convert to fraction form
    75,992.42/113,990.95 = 26,071.82/x
  3. Step 3: Cross multiply
    75,992.42x = 113,990.95 × 26,071.82
  4. Step 4: Simplify right side
    75,992.42x = 2,971,950,960.07
  5. Step 5: Solve for x
    x = 2,971,950,960.07/75,992.42
  6. Step 6: Final answer
    x = 39,108.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.